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Finding the Fourth Proportional to 469.68, 702.08 and 360.32

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Solution

The fourth proportional to 469.68, 702.08 and 360.32 is: 538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.68 : 702.08 = 360.32 : x
  2. Step 2: Convert to fraction form
    469.68/702.08 = 360.32/x
  3. Step 3: Cross multiply
    469.68x = 702.08 × 360.32
  4. Step 4: Simplify right side
    469.68x = 252,973.47
  5. Step 5: Solve for x
    x = 252,973.47/469.68
  6. Step 6: Final answer
    x = 538.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.